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22020202100 = 225213314113327
BaseRepresentation
bin10100100000100000…
…011001111001110100
32002211121220011112202
4110200200121321310
5330044132431400
614041013204032
71406452425641
oct244040317164
962747804482
1022020202100
11937a914836
124326630618
1320cc0a63b0
1410cc71cdc8
1588d2be4d5
hex520819e74

22020202100 has 144 divisors (see below), whose sum is σ = 54419183616. Its totient is φ = 7675776000.

The previous prime is 22020202091. The next prime is 22020202147. The reversal of 22020202100 is 120202022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645637 + ... + 1658963.

Almost surely, 222020202100 is an apocalyptic number.

22020202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22020202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209591808).

22020202100 is an abundant number, since it is smaller than the sum of its proper divisors (32398981516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22020202100 is a wasteful number, since it uses less digits than its factorization.

22020202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22020202100 its reverse (120202022), we get a palindrome (22140404122).

The spelling of 22020202100 in words is "twenty-two billion, twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 41 50 52 62 65 82 100 124 130 155 164 205 260 310 325 403 410 533 620 650 775 806 820 1025 1066 1271 1300 1550 1612 2015 2050 2132 2542 2665 3100 4030 4100 5084 5330 6355 8060 10075 10660 12710 13325 13327 16523 20150 25420 26650 26654 31775 33046 40300 53300 53308 63550 66092 66635 82615 127100 133270 165230 173251 266540 330460 333175 346502 413075 413137 546407 666350 693004 826150 826274 866255 1092814 1332700 1652300 1652548 1732510 2065685 2185628 2732035 3465020 4131370 4331275 5370781 5464070 7103291 8262740 8662550 10328425 10741562 10928140 13660175 14206582 16938617 17325100 20656850 21483124 26853905 27320350 28413164 33877234 35516455 41313700 53707810 54640700 67754468 71032910 84693085 107415620 134269525 142065820 169386170 177582275 220202021 268539050 338772340 355164550 423465425 440404042 537078100 710329100 846930850 880808084 1101010105 1693861700 2202020210 4404040420 5505050525 11010101050 22020202100